The binomial expansion of an expression of the form (a + b)n has a specific formula for determining the number of terms. This formula states that the number of terms in the expansion is given by n + 1, where n is the exponent.
In your case, we are looking to expand (2x + 3)5. Here, the exponent n is 5. Using the formula, we can calculate the number of terms:
- n = 5
- Number of terms = 5 + 1 = 6
Therefore, the binomial expansion of (2x + 3)5 will consist of 6 terms.